Find a positive value of the given variable so that the trinomial is factorable.
-$x ^ { 2 } + b x + 3 ; b = ?$
A) 4
B) 5
C) 2
D) 3

Question

Quizplus · Accepted Answer

For a trinomial $x^2 + bx + 3$ to be factorable, the middle term $b$ and the constant term $3$ must satisfy the condition that there exist two numbers that multiply to $3$ (the constant term) and add up to $b$ (the coefficient of the middle term). The only pair of integers that multiply to $3$ are $1$ and $3$, and they add up to $4$, making $b = 4$ the correct choice.

Find a Positive Value of the Given Variable So That x2+bx+3;b=?x ^ { 2 } + b x + 3 ; b = ?x2+bx+3;b=?

Find a Positive Value of the Given Variable So That $x ^ { 2 } + b x + 3 ; b = ?$